Answer:
a) 
b) 
Dividing both sides by 0.448 we got:
We can appy the exponent 
in both sides of the equation and we got:
Step-by-step explanation:
For this case we know the following function:
The notation is: x is the weight of the crab in grams, and the output f(x) is the weight of the claws in grams.
Part a
For this case we just need to replace x = 2 gram in the function and we got:
Part b
For this case we know tha value for 
and we want to find the value of x who satisfy this condition:
Dividing both sides by 0.448 we got:
We can appy the exponent in both sides of the equation and we got:
2x-4=3-x +1
<span>Simplifying
2x + -4 = 3 + -1x + 1
Reorder the terms:
-4 + 2x = 3 + -1x + 1
Reorder the terms:
-4 + 2x = 3 + 1 + -1x
Combine like terms: 3 + 1 = 4
-4 + 2x = 4 + -1x
Solving
-4 + 2x = 4 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-4 + 2x + x = 4 + -1x + x
Combine like terms: 2x + x = 3x
-4 + 3x = 4 + -1x + x
Combine like terms: -1x + x = 0
-4 + 3x = 4 + 0
-4 + 3x = 4
Add '4' to each side of the equation.
-4 + 4 + 3x = 4 + 4
Combine like terms: -4 + 4 = 0
0 + 3x = 4 + 4
3x = 4 + 4
Combine like terms: 4 + 4 = 8
3x = 8
Divide each side by '3'.
x = 2.666666667
Simplifying
x = 2.666666667</span>
Answer:
f(1) = 7
f(2) = 18
f(3) = 31
f(4) = 46
f(5) = 63
f(6) = 82
f(7) = 103
f(8) = 126
f(9) = 151
f(10) = 178
Step-by-step explanation:
f(1) = (-1)^2+8(1)-2 = 7
Continue plugging in values...
Answer
27 days
Step-by-step explanation:
father= 45 days
oldest son + father=27 days
youngest + father= 36 days
45-27=18
45-36=9
18+9=27
so it would take 27 days for both sons to complete the house
18 days=oldest son
9 days =youngest son
How many models does the following set have? 5,5,5,7,8,12,12,12,150,150,150
Strike441 [17]
<h3>
Answer: 3 modes</h3>
The three modes are 5, 12, and 150 since they occur the most times and they tie one another in being the most frequent (each occurring 3 times).
Only the 7 and 8 occur once each, and aren't modes. Everything else is a mode. It's possible to have more than one mode and often we represent this as a set. So we'd say the mode is {5, 12, 150} where the order doesn't matter.
